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研究所、轉學考(插大)-微積分
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104年 - 104 國立臺北大學學士班暨進修學士班轉學生招生考試_統計學系學士班暨進修學士班三年級：微積分#116790
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題組內容
2. Let f(x)=ln(x), x＞0.
(a) ( 8%) Find the Taylor's series of f(x) center at 1.
其他申論題
(b) (8%) dA, where R is the region bounded by y=0, y=, x=4.
#499041
(c) (10%) dA, where R is the region bounded by xy=1, xy=3, y=x, y=2x,by the setting u =xy,
#499042
(a) (7%)
#499043
(b) (8%)
#499044
(b) ( 7%) Applying the first 4th term of in (a) to approximate In1.1.
#499046
(a) ( 8%) Show that f(x) is continuous at 0.
#499047
(b)(12%) Find f'(x) and evaluate f'(0)..
#499048
(a) (6%) Find∇f(x,y), the gradient of f(x,y).
#499049
(b) (5%) Find the directional derivative of f(x,y) at (1,-2) in the direction of [-3,4].
#499050
(c) (9%) Find the relative extrema and saddle points of f(x, y)
#499051
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